Let's complete each sentence based on the given computations:
17. [tex]\(5 \times (4 + 3)\)[/tex] is five times as great as [tex]\(\mathbf{4 + 3 = 7}\)[/tex].
- Expression: [tex]\(5 \times (4 + 3) = 5 \times 7\)[/tex]
- Result: 35
- Sentence: [tex]\(5 \times(4+3)\)[/tex] is five times as great as [tex]\(7\)[/tex].
12. [tex]\(330 - 154 - 99 = 55 \times 6\)[/tex] is six times as great as [tex]\( \mathbf{55} \)[/tex]. [tex]\(55 \times 6 = 330\)[/tex]
- Expression: [tex]\(330 - 154 - 99\)[/tex]
- Simplification: [tex]\(330 - 154 = 176\)[/tex]; [tex]\(176 - 99 = 77\)[/tex]; [tex]\(55 \times 6 = 330\)[/tex]
- Result: 77 vs 330
- Sentence: [tex]\(330 - 154 - 99 = 55 \times 6\)[/tex] is six times as great as [tex]\( \mathbf{55} \)[/tex].
13. [tex]\((94 + 77) \times 3\)[/tex] is three times as great as [tex]\(\mathbf{94 + 77}\)[/tex].
- Expression: [tex]\((94 + 77) \times 3\)[/tex]
- Simplification: [tex]\(94 + 77 = 171\)[/tex]
- Result: [tex]\(171\)[/tex]; [tex]\(171 \times 3 = 513\)[/tex]
- Sentence: [tex]\((94 + 77) \times 3\)[/tex] is three times as great as [tex]\( \mathbf{171} \)[/tex].
14. The statement [tex]\(10,000 = 4994 = 00\)[/tex] doesn't follow conventional logic or known mathematical properties. Therefore, we will not interpret this as a valid part of our solution.
20. [tex]\(10 \times 1000 = 10000\)[/tex] indicates that ten is multiplied by one thousand to get [tex]\(\mathbf{10000}\)[/tex].
- Expression: [tex]\(10 \times 1000\)[/tex]
- Result: [tex]\(10000\)[/tex]
- Sentence: [tex]\(10 \times 1000 = 10000\)[/tex].
A more accurate interpretation based on verifiable elements:
17. [tex]\(5 \times (4 + 3)\)[/tex] is five times as great as [tex]\(7\)[/tex].
12. [tex]\(330 - 154 - 99 = 55 \times 6\)[/tex] is six times as great as [tex]\(55\)[/tex].
13. [tex]\((94 + 77) \times 3\)[/tex] is three times as great as [tex]\(171\)[/tex].
14. This statement is invalid in general mathematics.
20. [tex]\(10 \times 1000 = 10000\)[/tex].
